153684640 has 48 divisors (see below), whose sum is σ = 363847680. Its totient is φ = 61344000.

The previous prime is 153684599. The next prime is 153684647. The reversal of 153684640 is 46486351.

It is a happy number.

153684640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153684640.

It is not an unprimeable number, because it can be changed into a prime (153684647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119521 + ... + 120799.

It is an arithmetic number, because the mean of its divisors is an integer number (7580160).

Almost surely, 2^153684640 is an apocalyptic number.

153684640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153684640 is an abundant number, since it is smaller than the sum of its proper divisors (210163040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153684640 is a wasteful number, since it uses less digits than its factorization.

153684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 153684640 is about 12396.9609179024. The cubic root of 153684640 is about 535.6447114557.

The spelling of 153684640 in words is "one hundred fifty-three million, six hundred eighty-four thousand, six hundred forty".